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Parallel between the development of the logical thinking of pupils and the history of logic
Zavřel, Karel ; Kvasz, Ladislav (advisor) ; Zhouf, Jaroslav (referee)
5 Abstract Diploma thesis Parallel between the development of the logical thinking of pupils and the history of logic deals with aplications of method of genetic parallel in logic. On the selected logical problems are shown their fylogenetic (historical) and ontogenetic development. In the historical part of the thesis is discussed especialy the problem of implication, which develops mainly in megaric-stoic logic. Following chapter deal with so-called alternative fhylogeny, ethnographic research. Overview summaries several research articles and monographs exploring the issue of the logical development of children in past decades. Theory of Jean Piaget is mentioned. Next short chapter deals with definition of subject matter of logic at the primary and secondary school (RVP). Also some textbooks are mentioned. The last chapter discusses author's own research.
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History of logic as an inspiration for mathematics education
Zavřel, Karel ; Kvasz, Ladislav (advisor) ; Zhouf, Jaroslav (referee)
The bachelor thesis History of logic as an inspiration for mathematics education endeavors to integrate pieces of knowledge and examples taken from the history of logic into the entire mathematics, especially into mathematics education. The introductory overview chapter illustrates the development of the process of logical inference, and simultaneously it indicates the position of logic in the pantheon of all branches of science in the particular periods of history. The second chapter deals with the different ways of formalizing logic. First I discuss Aristotle's construction of formal logic as a system of syllogisms. That system is analyzed from the point of view of a classification of syllogisms and the proof of their validity, as well as from the point of view of several medieval memorizing formulas and the different diagrammatic methods for representation syllogism. The next two chapters describe the contribution of George Boole and Gottlob Frege. In the text I try to compare their approaches to logic and describe the most important principles and accents, present in their works. The third chapter is a purely practical one; it starts with a short overview of the situations, where logic is implicitly included in mathematics education without our being aware of it. Next three short sub-chapters...
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Aristotle's Conception of Logic
Zavřel, Karel ; Sousedík, Prokop (advisor) ; Svoboda, David (referee)
Bibliografická citace ZAVŘEL, Karel. Aristotelovo pojetí logiky. Bakalářská práce. Praha: Univerzita Karlova - Katolická teologická fakulta, 2014. Abstract Presented bachelor thesis Aristotle's conception of logic describes gradually Aristotle's life, the previous dialectical tradition and also concrete bases of his logical system. There are described in detail the various parts of Aristotle's Organon. The greatest emphasis is placed - and a large space is devoted - especially Aristotle's doctrine of judgments, syllogistics. Aristotle's view on this issue and his solutions are then supplemented by other views, that was brought by the rich historical tradition of Aristotelian logic: in particular the semantic view implemented by using a variety of diagrammatic methods. The last chapter briefly describes the Aristotelian logic, as it is reflected particularly by the scholastic tradition. Keywords: Aristotle, logic, Organon, syllogistics
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Parallel between the development of the logical thinking of pupils and the history of logic
Zavřel, Karel ; Kvasz, Ladislav (advisor) ; Zhouf, Jaroslav (referee)
5 Abstract Diploma thesis Parallel between the development of the logical thinking of pupils and the history of logic deals with aplications of method of genetic parallel in logic. On the selected logical problems are shown their fylogenetic (historical) and ontogenetic development. In the historical part of the thesis is discussed especialy the problem of implication, which develops mainly in megaric-stoic logic. Following chapter deal with so-called alternative fhylogeny, ethnographic research. Overview summaries several research articles and monographs exploring the issue of the logical development of children in past decades. Theory of Jean Piaget is mentioned. Next short chapter deals with definition of subject matter of logic at the primary and secondary school (RVP). Also some textbooks are mentioned. The last chapter discusses author's own research.
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History of logic as an inspiration for mathematics education
Zavřel, Karel ; Kvasz, Ladislav (advisor) ; Zhouf, Jaroslav (referee)
The bachelor thesis History of logic as an inspiration for mathematics education endeavors to integrate pieces of knowledge and examples taken from the history of logic into the entire mathematics, especially into mathematics education. The introductory overview chapter illustrates the development of the process of logical inference, and simultaneously it indicates the position of logic in the pantheon of all branches of science in the particular periods of history. The second chapter deals with the different ways of formalizing logic. First I discuss Aristotle's construction of formal logic as a system of syllogisms. That system is analyzed from the point of view of a classification of syllogisms and the proof of their validity, as well as from the point of view of several medieval memorizing formulas and the different diagrammatic methods for representation syllogism. The next two chapters describe the contribution of George Boole and Gottlob Frege. In the text I try to compare their approaches to logic and describe the most important principles and accents, present in their works. The third chapter is a purely practical one; it starts with a short overview of the situations, where logic is implicitly included in mathematics education without our being aware of it. Next three short sub-chapters...
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